If $5 x^{7} - 6 x^{5} + 7 x - 6$ is a polynomial, then find:
(a) Coefficients of $x^{5}$ and $x^{2}$
(b) Degree of polynomial
(c) Constant term
(d) Number of terms.

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Solution

Given polynomial- $5 x^{7} - 6 x^{5} + 7 x - 6$
Here,
(a) Coefficient of $x^{5} = - 6$
Coefficient of $x^{2} = 0$
(b) Degree of polynomial $=$ highest degree of monomial with non-zero coefficient $= 7$
(c) Constant term $=$ Coefficient of $x^{0} = - 6$
(d) Number of terms $= 4$

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